M L Aggarwal Solutions for Chapter: Probability, Exercise 8: EXERCISE

A bag contains $5$ white, $7$ red and $8$ black balls. If $4$ balls are drawn one by one with replacement, then what is the probability that all are white.

A bag contains $5$ white, $7$ red and $8$ black balls. If $4$ balls are drawn one by one with replacement, then what is the probability that only $2$ are whites?

A box contains $100$ tickets, each bearing a different number from $1$ to $100$. If 5 tickets are drawn successively with replacement from the box, then the probability that all tickets bear numbers divisible by $10$ is ${\left(\frac{1}{10}\right)}^k$, then find the value of $k$.

The probability of a man hitting a target is $0.25$. He shoots $7$ times. What is the probability of his hitting at least twice?

During a war,$1$ in $10$ ships was sunk in the average in making a certain voyage. What is the probability that at least $3$ out of a convoy of $6$ ships would arrive safely?

A student answers $20$ true-false types of questions by tossing a fair coin. If the coin fall heads, he answers 'true' and if it falls tails he answers 'false'. Find the probability that he answers at least $12$ questions correctly.

The probability of India winning a test match against West-Indies is $\frac{1}{2}$. Find the probability that in a test match series India's second win occurs at the third test.

A fair die is tossed eight times. The probability that a third six is observed on the eighth throw is $\frac{7}{72}{\left(\frac{5}{6}\right)}^k$, then find the value of $k$ .